Search a number
-
+
1012100120200 = 235213389269277
BaseRepresentation
bin11101011101001011101…
…11100011111010001000
310120202101222221012221001
432232211313203322020
5113040240112321300
62052541414024344
7133056533035261
oct16564567437210
93522358835831
101012100120200
11360258150334
1214419a3480b4
13745960b6790
1436db3487968
151b4d8bb216a
hexeba5de3e88

1012100120200 has 48 divisors (see below), whose sum is σ = 2534142999780. Its totient is φ = 373698504960.

The previous prime is 1012100120183. The next prime is 1012100120279. The reversal of 1012100120200 is 20210012101.

It can be written as a sum of positive squares in 6 ways, for example, as 512389682596 + 499710437604 = 715814^2 + 706902^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194632039 + ... + 194637238.

Almost surely, 21012100120200 is an apocalyptic number.

1012100120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012100120200 is an abundant number, since it is smaller than the sum of its proper divisors (1522042879580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012100120200 is a wasteful number, since it uses less digits than its factorization.

1012100120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389269306 (or 389269297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012100120200 its reverse (20210012101), we get a palindrome (1032310132301).

The spelling of 1012100120200 in words is "one trillion, twelve billion, one hundred million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 389269277 778538554 1557077108 1946346385 3114154216 3892692770 5060500601 7785385540 9731731925 10121001202 15570771080 19463463850 20242002404 25302503005 38926927700 40484004808 50605006010 77853855400 101210012020 126512515025 202420024040 253025030050 506050060100 1012100120200